J Austral Math Soc Ser A 48 pp223--234, 1990.

Some Examples Concerning Normal and Uniform Structure in Banach Spaces

Mark A. Smith and Barry Turett

(Received 23 February 1989)

Abstract

Examples are given that show the following: (1) normal structure need not be inherited by quotient spaces; (2) uniform structure is not a self-dual property; and (3) no degree of k-uniform rotundity need br present in a space with uniform normal structure.

1980 AMS Subject Classification (1985 Revision): 46B20

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Authors

Mark A. Smith: Miami University, Oxford, Ohio 45056, U.S.A.
Barry Turett: Oakland University, Rochester, Michigan 48309, U.S.A.

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Last Modified: Wed Feb 19 10:27:51 2003